First Law of Thermodynamics
Given 1.6 mole of gas is fixed in an enclosed cube with a volume of 38.0 . When 2465 J of heat is supplied, the pressure of the gas increases. If the molar heat capacity for the gas, is 30.97 J , what is the change in temperature in Kelvin?
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1 solution
The First Law of Thermodynamics states that Δ Q= Δ U + W. Since the gas is fixed and enclosed, therefore the volume is constant. When the heat is supplied, only pressure increases, therefore there is no work done, W = 0. Hence, Δ Q = Δ U, whereby Δ U = n C v , m Δ T. Through substitution and calculation, the change in temperature is 49.75 K.