Consider a frictionless piston-cylinder system which contains a gas. The corresponding pressure (P) and volume (V)...

 

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Consider a frictionless piston-cylinder system which contains a gas. The corresponding pressure (P) and volume (V) data is available in Table Q.2. for the gas while it is expanding against the piston. Table Q.2. P-V data for a gas expanding in a frictionless piston-cylinder system. P (bar) 20 (initial) 16 12 9 V (m) 0.87 initial) 1.07 1.39 1.80 2.60 3.77 (final) 6 4 (final) a. Using the data given in Table Q.2., estimate the work done by the gas by carrying out numerical integration. Illustrate your work on a graph. [10] b. The expansion of the gas described above may also be expressed by the following equation PV1.1=17.2 Calculate the work done by the gas using the above expression. [5] 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. [5] Consider a frictionless piston-cylinder system which contains a gas. The corresponding pressure (P) and volume (V) data is available in Table Q.2. for the gas while it is expanding against the piston. Table Q.2. P-V data for a gas expanding in a frictionless piston-cylinder system. P (bar) 20 (initial) 16 12 9 V (m) 0.87 initial) 1.07 1.39 1.80 2.60 3.77 (final) 6 4 (final) a. Using the data given in Table Q.2., estimate the work done by the gas by carrying out numerical integration. Illustrate your work on a graph. [10] b. The expansion of the gas described above may also be expressed by the following equation PV1.1=17.2 Calculate the work done by the gas using the above expression. [5] 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. [5]