A) 33.3
B) 50.0
C) 100.0
D) 300.0
Correct Answer: D
Solution :
Key Idea: In an isothermal change temperature remains constant. For isothermal change \[PV=RT=\text{constant}\] where, \[P=h\rho g=\text{height}\,\text{ }\!\!\times\!\!\text{ }\,\text{density}\,\text{ }\!\!\times\!\!\text{ }\,\text{gravity}\] \[\therefore \] \[{{P}_{1}}{{V}_{1}}={{P}_{2}}{{V}_{2}}\] Given, \[{{V}_{2}}=3{{V}_{1}},{{P}_{2}}=100\,kPa=100\times {{10}^{3}}Pa\] \[\therefore \]\[{{P}_{1}}=\frac{{{P}_{2}}{{V}_{2}}}{{{V}_{1}}}=\frac{100\times {{10}^{3}}\times 3{{V}_{1}}}{{{V}_{1}}}=300\,kPa\]You need to login to perform this action.
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