Question

Suppose 1.4 mol of an ideal gas is taken from a volume of 2.5 m3 to a volume of 1.0 m3 via an isothermal compression at 27°C. (a) How much energy is transferred as heat during the compression, and (b) is the transfer to or from the gas?

Answer 1

Part a)

Q = 3198 J

Part b)

It is compression of gas so this is energy transferred to the gas

Step-by-step explanation:

Part a)

Energy transfer during compression of gas is same as the work done on the gas

In isothermal process work done is given by the equation

`W = nRT ln((V_2)/(V_1))`

now we know that

n = 1.4 moles

T = 27 degree C = 300 K

`V_2 = 2.5 m^3`

`V_1 = 1 m^3`

now we have

`W = (1.4)(8.31)(300)(ln(2.5)/(1))`

`Q = 3198 J`

Part b)

It is compression of gas so this is energy transferred to the gas