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## Main Question or Discussion Point

Basically I have a question regarding the heat capacity of a gas and the ideal gas law.

The heat capacity equation is:

Q = C(T_f - T_i)

The ideal gas law equation is:

PV = nRT.

The system has n moles of some gas, for example hydrogen in a container with constant volume. The container is heated with Q joules of energy, How do I relate the amount of heat absorbed by the container (adiabatically) being heated to the change in pressure? I assume that for n moles of gas I would need to use the specific heat for hydrogen at constant volume instead so the heat capacity equation becomes,

Q = nC_v(T_f - T_i)

I'm also wondering about using the heat conduction equation where:

P_conductivity = Q/t = (kA(T_f - T_i))/(L)

for the walls of the container, although only one side is being heated,

so the container has a cubic shape and the Area is A and the thickness of the wall is L.

Would the time required to heat up the gas in the container also require the above

conduction equation and if so what would be the time required for a certain amount of power to change the pressure of the gas at constant volume.

Basically I'm having trouble relating the ideal gas law to the conductivity equation.

thanks.

The heat capacity equation is:

Q = C(T_f - T_i)

The ideal gas law equation is:

PV = nRT.

The system has n moles of some gas, for example hydrogen in a container with constant volume. The container is heated with Q joules of energy, How do I relate the amount of heat absorbed by the container (adiabatically) being heated to the change in pressure? I assume that for n moles of gas I would need to use the specific heat for hydrogen at constant volume instead so the heat capacity equation becomes,

Q = nC_v(T_f - T_i)

I'm also wondering about using the heat conduction equation where:

P_conductivity = Q/t = (kA(T_f - T_i))/(L)

for the walls of the container, although only one side is being heated,

so the container has a cubic shape and the Area is A and the thickness of the wall is L.

Would the time required to heat up the gas in the container also require the above

conduction equation and if so what would be the time required for a certain amount of power to change the pressure of the gas at constant volume.

Basically I'm having trouble relating the ideal gas law to the conductivity equation.

thanks.

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