question_answer 1)

A balloon is filled with hydrogen at room temperature. It will burst if pressure exceeds 0.2 bar. If at 1 bar pressure the gas occupies 2.27 L volume, upto what volume the balloon can be expanded?

Answer:

Information shadow: The pressure that the balloon can withhold is 0.2 bar. The volume of \[{{H}_{2}}\] gas at 1 bar pressure is 2.27 L. Temperature is kept constant. Problem solving strategy: At constant temperature, Boyle's law will be applied i.e., \[{{P}_{1}}{{V}_{1}}={{P}_{2}}{{V}_{2}}\] Working it out: \[{{P}_{1}}=1\]bar \[{{V}_{1}}=2.27L\] \[{{P}_{2}}=0.2\]bar \[{{V}_{2}}=?\] \[{{P}_{1}}{{V}_{1}}={{P}_{2}}{{V}_{2}}\] \[1\times 2.27=0.2\times {{V}_{2}}\] \[{{V}_{2}}=11.35L\]