Question

A sample ideal gas Is expanded to twice of its Volume $1m^3$ in a quasi-static process For which $p=\alpha v^2$ , $\alpha =3\ast {10}^{5}p\alpha /m^6$ as shown in fig. Work done by expanding gas is

• A. $8\ast {10}^{5}J$
• B. $7\ast {10}^{5}J$
• C. $6\ast {10}^{5}J$
• D. $3\ast {10}^{5}J$

Answer 1

The correct option is B $7\ast {10}^{5}J$

For the expansion and compression processes,

Work done=${\int }_1^{2}Pdv={10}^5{v}^3{|}_1^2=7\times {10}^{5}J$