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Problem 2:  A metal bar in a low temperature physics experiment with mass m = 59 kg had its temperature raised from T1 = 29 K to T2 = 48 K. The metal bar has a specific heat that is a function of temperature: c(T) = A + αT, where A = 350 J/(kg⋅K) and α = 8.2 J/(kg⋅K2). Note the metal bar does not change in volume as it is heated.  Part (a)  Calculate the amount of heat Q in joules required to raise the temperature on the metal bar as stated.    Part (b)  Calculate heat released by the metal bar when cooling from T2 to T1 without any change in volume.  Part (c)  Write an approximation of the c(T) for the metal rod for very high temperatures (say T >> 1000 K).

Problem 2:  A metal bar in a low temperature physics experiment with mass m = 59 kg had its temperature raised from T1 = 29 K to T2 = 48 K. The metal bar has a specific heat that is a function of temperature: c(T) = A + αT, where A = 350 J/(kg⋅K) and α = 8.2 J/(kg⋅K2). Note the metal bar does not change in volume as it is heated.  Part (a)  Calculate the amount of heat Q in joules required to raise the temperature on the metal bar as stated.    Part (b)  Calculate heat released by the metal bar when cooling from T2 to T1 without any change in volume.  Part (c)  Write an approximation of the c(T) for the metal rod for very high temperatures (say T >> 1000 K).

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Problem 2:  A metal bar in a low temperature physics experiment with mass m = 59 kg had its temperature raised from T1 = 29 K to T2 = 48 K. The metal bar has a specific heat that is a function of temperature:
c(T) = A + αT,
where A = 350 J/(kg⋅K) and α = 8.2 J/(kg⋅K2). Note the metal bar does not change in volume as it is heated. 

Part (a)  Calculate the amount of heat Q in joules required to raise the temperature on the metal bar as stated.   

Part (b)  Calculate heat released by the metal bar when cooling from T2 to T1 without any change in volume. 

Part (c)  Write an approximation of the c(T) for the metal rod for very high temperatures (say T >> 1000 K). 

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