Find the work done by a monatomic ideal gas as it expands from point A to point

Question

             Find the work done by a monatomic ideal gas as it expands from point A to point C along the path shown in the figure(Figure 1) .          Express your answer using two significant figures. W =

MJ W =

MJ W =

MJ
Part B              If the temperature of the gas is 200K  at point A, what is its temperature at point C?          Express your answer using two significant figures. TC =

K
Part B              If the temperature of the gas is 200K  at point A, what is its temperature at point C?          Express your answer using two significant figures. TC =

K
TC =

K TC =

K



Part C              How much heat has been added to or removed from the gas during this process?
Express your answer using two significant figures. |Q| =
MJ Part C              How much heat has been added to or removed from the gas during this process?
Express your answer using two significant figures. |Q| =
MJ |Q| =
MJ |Q| =
MJ
W =

MJ Find the work done by a monatomic ideal gas as it expands from point A to point C along the path shown in the figure(Figure 1). If the temperature of the gas is 200K at point A, what is its temperature at point C? How much heat has been added to or removed from the gas during this process?

Explanation / Answer

a)the work done is the shaded area..
area of one square is = 200*10^3*1=200000 J..
from the figure we can see 6 and a half squares are shaded..

5 complete square and 1 half square and 1 triangle area = 0.5 * 2 * 1 = 1 square
so work done is 6.5*200000 = 1300 kJ

b)as the gas is monoatomic
change in internal energy = 3/2nR(T_2 - T_1) = 3/2P(V_2 - V_1) = 3/2*200(5 - 1) = 1200 kJ


c)
now according to the first law of thermodynamics
Q = U + W = 1300 + 1200 = 2500 kJ

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