a) Consider a frictionless piston-cylinder system which contains a gas. The following pressure (P) and specific volume (V) data is available in Table Q.1 for the gas while it is expanding against the piston:

Table Q.1. P-V data for a gas expanding in a frictionless piston-cylinder system.

Using the data given in Table Q.1. estimate the work done by the gas. Illustrate your work on a graph paper. b) The expansion of the gas described in a) above may also be expressed by the

following equation Calculate the work done by the gas using the above expression.

PV1.1=17.2

c) Would it be possible to calculate the change in the internal energy of the expanding gas with the information given in either a) or b)? If it is possible, calculate the internal energy change of the gas. If not, discuss what other information is needed to calculate it.

1. a) Consider a frictionless piston-cylinder system which contains a gas. The following pressure (P) and specific volume (V) data is available in Table Q.1 for the gas while it is expanding against the piston: Table Q.1. P-V data for a gas expanding in a frictionless piston-cylinder system. P(bar) V(m3/kg) 20 (initial) 0.87 (initial) 16 1.07 12 1.39 9 1.80 6 2.60 4 (final) 3.77 (final) Using the data given in Table Q.1. estimate the work done by the gas. Illustrate your work on a graph paper. [8] b) The expansion of the gas described in a) above may also be expressed by the following equation PV1.1=17.2 Calculate the work done by the gas using the above expression. [8] c) Would it be possible to calculate the change in the internal energy of the expanding gas with the information given in either a) or b)? If it is possible, calculate the internal energy change of the gas. If not, discuss what other information is needed to calculate it. [4]