How Is Heat Calculated for an Ideal Gas at Constant Volume?

AI Thread Summary
To calculate the total heat brought to an ideal gas at constant volume when the pressure rises to a new level, the relevant equations include the ideal gas law, PV = nRT, and the heat transfer equation Q = nC_v(T_f - T_i). The change in pressure can be expressed as (P_f - P_i)V = nR(T_f - T_i). The heat added to the system is determined by the molar heat capacity C_v and the change in temperature. Thus, the expression for total heat can be derived from these relationships. Understanding these equations is crucial for solving problems related to heat transfer in ideal gases.
diredragon
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Homework Statement


An ideal gass is at constant volume risen to a new pressure level of ##P_f##. Find te expression for the total heat brought to the system.

Homework Equations


3. The Attempt at a Solution [/B]
So ##PV=nRT## and ##E=Q## ##Q=C_v(T_f-T_i)## so i just have to find ##(P_f-P_i)V=nR(Tf-Ti)## with the last term being what i need...?
 
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diredragon said:

Homework Statement


An ideal gass is at constant volume risen to a new pressure level of ##P_f##. Find te expression for the total heat brought to the system.

Homework Equations


3. The Attempt at a Solution [/B]
So ##PV=nRT## and ##E=Q## ##Q=C_v(T_f-T_i)## so i just have to find ##(P_f-P_i)V=nR(Tf-Ti)## with the last term being what i need...?
The equations you have written can be used, provided you write ##Q=nC_v(T_f-T_i)##, where Cv is the molar heat capacity and n is the number of moles.
 
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