Generalize this problem: the two containers are at temperatures T1 and T2 (Kelvin) and heat Q...
Generalize this problem: the two containers are at temperatures T1 and T2 (Kelvin) and heat Q flows from container 1 to container 2.
a. Derive a formula for the change in entropy ∆S (for the entire system) as a function of Q, T1 and T2.
b. Show that ∆? ≥ 0 only if T1 ≥ T2.
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Generalize this problem: the two containers are at temperatures T1 and T2 (Kelvin) and heat Q...
Background info: two containers, one at 305K and the other at 295K, are placed in contact...
Background info: two containers, one at 305K and the other at 295K,
are placed in contact with each other.
Please use this info to answer these two questions.
Thanks!
Part B. Generalize this problem: the two containers are at temperatures Ti and T2 (Kelvin) and heat Q flows from container1 to container 2 1. Derive a formula for the change in entropy AS (for the entire system) as a function of Q, Ti and T2 2. Show that as 0...
Difference in final temperatures? Please show all steps Two containers (call them A and B) with...
Difference in final temperatures? Please show all steps
Two containers (call them A and B) with the same initial volume, V 31 L, hold the same amount of monatomic ideal gas, say helium, at the same initial temperature T = 301 K and the same initial pressure Pi 1 atm. Container A holds the gas at a constant volume and Container B holds the gas at a constant pressure If you add Q 5389 J of heat to both containers,...
Two containers of the same gas each holding the same amount of mass, initially at temperature...
Two containers of the same gas each holding the same amount of mass, initially at temperature T1 and T2 are brought into thermal equilibrium Assuming no heat loss to the atmosphere and constant container volumes calculate (neglect the mass of the containers): 1) The final temperature of the gas in each container 2) The change of internal energy 3) The change of entropy For this process- if: A) The containers are placed in thermal contact. B) A reversible cycle works...
Consider two temperatures, T1-30°C and T2 = 55°C. a) Determine the difference between these temperatures, ΔΤ,...
Consider two temperatures, T1-30°C and T2 = 55°C. a) Determine the difference between these temperatures, ΔΤ, in °C. Convert each temperature to K. Determine Tin K. When calculating temperature differences, does it matter whether we use a relative scale (°C) or an absolute scale (K)? What can you say about the magnitude of a °C and a K? b) Determine the ratio T2/Ti using temperatures in °C. Convert each temperature to K. Determine the ratio T2/T1 using temperature in K....
Two containers, one at 305 K and the other at 295 K, are placed in contact...
Two containers, one at 305 K and the other at 295 K, are placed in contact with each other. a. 1 J of heat flows from the hot container to the cold container. Find the change in entropy of the hot container and the cold container, and of the whole system (hot + cold container together). Does this process violate the second law of thermodynamics? b. 1 J of heat flows from the cold container to the hot container. Find...
2. In lecture, we have derived the thermodynamic definition of temperature, OS In this problem, you...
2. In lecture, we have derived the thermodynamic definition of temperature, OS In this problem, you will examine what happens to the entropy (i.e., the number of microstates) when two systems with different temperatures interact and exchange energy. The result foreshadows what we will later get to know as the second law of thermodynamics (a) *D1* A system at temperature and energy E absorbs a small amount of energy ΔΕ. Show that the change in entropy is approximately equal to...
T1 = 46 T2 = 16 The total heat transfer can be broken into two parts:...
T1 = 46
T2 = 16
The total heat transfer can be broken into two parts: heat given off and eat absorbed (if we assume the system is closed). The heat absorbed goes into the ice, to turn it into ice water the resulting ice water, to raise it to T2 The heat given off comes from . the reservoir the water in the reservoir the thermometer all of which start out at Ti Assuming the system is closed, all...
Problem 8: Two amounts of salt water at different temperatures are brought into thermal contact with...
Problem 8: Two amounts of salt water at different temperatures are brought into thermal contact with each other and mixed thoroughly. The first amount of water has mass m, = 0.302 kg and its initial temperature is T, = 7.61 °C. The second has a mass of m2 = 0.873 kg and an initial temperature of T2 = 34.5 °C. Assume that the system is isolated. Let the specific heat of the water at this salinity to be Cw=0.84 kcal...
A block of iron ore A of mass m = 350 kg and specific heat capacity...
A block of iron ore A of mass m = 350 kg and specific heat capacity C = 460 kJ/(kg·K) obeys the constitutive relations where T is temperature. The block of metal is initially at temperature T1 = 700 K and it is placed in a perfectly-sealed, constant-pressure container B containing 64 kg of air initially at 320 K and atmospheric pressure 101.3 kPa. The air in container B can be modeled as a perfect gas with specific heat capacity...
A Carnot engine is operated between two heat reservoirs at T1= 435 K and T2= 308...
A Carnot engine is operated between two heat reservoirs at T1= 435 K and T2= 308 K. (a) If the engine receives 5113 J of heat from the reservoir at T1 in each cycle, how many joules per cycle does it deliver to the reservoir at T2? (b) How much mechanical work is performed by the engine during each cycle? (c) What is the thermal efficiency of the engine?
Background info: two containers, one at 305K and the other at 295K,
are placed in contact with each other.
Please use this info to answer these two questions.
Thanks!
Part B. Generalize this problem: the two containers are at temperatures Ti and T2 (Kelvin) and heat Q flows from container1 to container 2 1. Derive a formula for the change in entropy AS (for the entire system) as a function of Q, Ti and T2 2. Show that as 0...
Difference in final temperatures? Please show all steps
Two containers (call them A and B) with the same initial volume, V 31 L, hold the same amount of monatomic ideal gas, say helium, at the same initial temperature T = 301 K and the same initial pressure Pi 1 atm. Container A holds the gas at a constant volume and Container B holds the gas at a constant pressure If you add Q 5389 J of heat to both containers,...
Consider two temperatures, T1-30°C and T2 = 55°C. a) Determine the difference between these temperatures, ΔΤ, in °C. Convert each temperature to K. Determine Tin K. When calculating temperature differences, does it matter whether we use a relative scale (°C) or an absolute scale (K)? What can you say about the magnitude of a °C and a K? b) Determine the ratio T2/Ti using temperatures in °C. Convert each temperature to K. Determine the ratio T2/T1 using temperature in K....
2. In lecture, we have derived the thermodynamic definition of temperature, OS In this problem, you will examine what happens to the entropy (i.e., the number of microstates) when two systems with different temperatures interact and exchange energy. The result foreshadows what we will later get to know as the second law of thermodynamics (a) *D1* A system at temperature and energy E absorbs a small amount of energy ΔΕ. Show that the change in entropy is approximately equal to...
T1 = 46
T2 = 16
The total heat transfer can be broken into two parts: heat given off and eat absorbed (if we assume the system is closed). The heat absorbed goes into the ice, to turn it into ice water the resulting ice water, to raise it to T2 The heat given off comes from . the reservoir the water in the reservoir the thermometer all of which start out at Ti Assuming the system is closed, all...
Problem 8: Two amounts of salt water at different temperatures are brought into thermal contact with each other and mixed thoroughly. The first amount of water has mass m, = 0.302 kg and its initial temperature is T, = 7.61 °C. The second has a mass of m2 = 0.873 kg and an initial temperature of T2 = 34.5 °C. Assume that the system is isolated. Let the specific heat of the water at this salinity to be Cw=0.84 kcal...
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