A spray can containing a propellant gas at twice atmospheric pressure (202 kPa) and having a volume of 119.00 cm is at 27°C. It is then tossed into an open fire. (Warning: Do not do this experiment; it is very dangerous.) When the temperature of the gas in the can reaches 195°C, what is the pressure inside the can? Assume any change in the volume of the can is negligible.
SOLUTION
Conceptualize Intuitively, you should expect that the pressure of the gas in the container increases because of the increasing temperature.
Categorize We model the gas in the can as ideal and use the ideal gas law to calculate the new pressure.
Analyze
Rearrange PV = nRT (Use the following as necessary: n and R.): (1) PV = nR
No air escapes during the compression, so that n, and therefore nR, remains constant. Hence, set the initial value of the left side of Equation (1) equal to the final value (Use the following as necessary: PF VAT and T;. Do not substitute numerical values; use variables only.):
Because the initial and final volumes of the gas are assumed to be equal, cancel the volumes (Use the following as necessary: PF TF, and T;. Do not substitute numerical values; use variables only.):
Solve for Pf(in kPa):
Homework Answers
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A spray can containing a propellant gas at twice atmospheric pressure (202 kPa) and having a...
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4) The work produced by a piston-cylinder device depends on the pressure inside the cylinder and the amount the piston moves, resulting in a change in volume inside the cylinder. Mathematically In order to integrate this equation, we need to understand how the pressure changes with the volume. We can model most combustion gases as air and assume that they follow the ideal gas law PV- nRT where P- pressure, kPa, volume, m n- number of...
The Pressure of an Ideal gas,
measured in kPa, is related to its volume, V, and temperature, T,
by the equation:
PV=0.23T.
The temperature is measured with an error of 8 kelvin and the
volume is measured with an error of 0.6m^3. If it is known that the
actual values are T=234 kelvin and V=4m^3, what is the estimated
maximum error in the measurement of the pressure? Round your answer
to 4 decimal places.
The pressure of an ideal gas,...
The ideal gas law states that PV = NkgT where P is the absolute pressure of a gas, V is the volume it occupies, N is the number of atoms and molecules in the gas, and T is its absolute temperature. The constant ko is called the Boltzmann constant and has the value kg = 1.38x10-23J/K. A very common expression of the ideal gas law uses the number of moles, n- N/NA (NA is Avogadro's number, NA=6.021023 per mole). PV...
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4) The work produced by a piston-cylinder device depends on the pressure inside the cylinder and the amount the piston moves, resulting in a change in volume inside the cylinder. Mathematically In order to integrate this equation, we need to understand how the pressure changes with the volume. We can model most combustion gases as air and assume that they follow the ideal gas law PV- nRT where P- pressure, kPa, volume, m n- number of...
3. A stream of nitrogen (use the tables to find the necessary gas data) enters a diffuser at 200 m /s with a pressure of 80 kPa and -20 C. The speed at the outlet is 15 m/s at a pressure of 95 kPa. If the diameter at the entrance is 100 mm, calculate: a) The mass flow b) The temperature at the outlet of the diffuser c) The temperature at the outlet of the diffuser if heat escapes at...
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