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States Of Matter

Question
CBSEENCH11005897

A vessel of 120 mL capacity contains a certain amount of gas at 35°C and 1·2 bar pressure. The gas is transferred to another vessel of volume 180 mL at 35°C. What would be its pressure ?

Solution

Here,
straight V subscript 1 space equals space 12 space ml semicolon space space space space space straight P subscript 1 space equals space 1.2 space space bar
straight V subscript 2 space equals space 180 space mL space semicolon space space straight P subscript 2 space equals ?
According to Boyle's law,
                      straight P subscript 1 straight V subscript 1 space equals space straight P subscript 2 straight P subscript 2
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Substituting the values, we have,
                  fraction numerator straight P subscript 2 over denominator 1.2 space bar end fraction space equals space fraction numerator 120 space mL over denominator 180 space mL end fraction
or space space space space straight P subscript 2 space equals space 1.2 space bar space cross times 2 over 3 space equals space 0.8 space bar