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Perfectly rigid containers each hold nmoles of ideal gas, one being hydrogen H2and other...

Perfectly rigid containers each hold n moles of ideal gas, one being hydrogen H2and other being neon Ne.


If it takes 100 J of heat to increase the temperature of the hydrogen by 3.50° C,, by how many degrees will the same amount of heat raise the temperature of the neon?

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Answer #1
Concepts and reason

The main concept used to solve the problem is energy transfer.

Initially, use the expression of energy transfer to calculate the amount of heat required to increase the temperature of the hydrogen. Later, use the expression of energy transfer to calculate the amount of heat required to increase the temperature of the Neon. Finally, equate the both expression to calculate the temperature.

Fundamentals

The energy transfer expression is,

- пст

Here, Q is the heat, n is the number of moles, c is the specific heat, and T is the temperature.

The energy transfer expression for hydrogen is,

Оп
— пс,Т

Here, is the energy transfer of hydrogen, n is the number of moles, c.
is the specific heat, and T is the temperature.

Substitute R
2
for , n for n , and 3.50° C
for T
in expression Оп
— пс,Т
.R|(3.50°C
2
Он
…… (1)

The energy transfer expression for Neon is,

nc,T
N

Here, N
is the energy transfer of Neon, n is the number of moles, is the specific heat, and T
is the temperature.

Substitute 3
2
for , and n for n in expression nc,T
N
.

QN
= n
…… (2)

Equate equation (1) and (2) and solve for T
.

r(3,50°C)-rR|r)
= n
2
2
T 5.833°C
=5.83°C

Ans:

The amount of heat raises the temperature of the neon is 5.83 °C
.

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