question_answer 7)

A vessel of 120 mL capacity contains a certain amount of gas at \[35{}^\circ C\]and 1.2 bar pressure. The gas is transferred to another vessel of volume 180 mL at\[35{}^\circ C\]. What would be its pressure?

Answer:

Given \[{{V}_{1}}=120mL,\,\,\,\,\,\,\,\,\,{{P}_{1}}=1.2bar\] \[{{V}_{2}}=180mL,\,\,\,\,\,\,\,\,\,{{P}_{2}}=?\] Since, the temperature is constant, Boyle's law will be applicable \[{{P}_{1}}{{V}_{1}}={{P}_{2}}{{V}_{2}}\] \[1.2\times 120={{P}_{2}}\times 180\] \[{{P}_{2}}=\frac{1.2\times 120}{180}\] \[=0.8\text{bar}\]