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Introductory Physics Homework Help
Percentage change in the density of a gas
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[QUOTE="patric44, post: 6852614, member: 619921"] [B]Homework Statement:[/B] a gas was at a specific vessel at T=300K, P=110KPa, when moved to another different vessel at the same temperature its pressure becomes 105KPa, if this vessel was heated to 330K find the percentage change in the density? [B]Relevant Equations:[/B] P1V1=P2V2, V1/T1=V2/T2 Hi all, in this question i was asked to find the percentage change in the density, my approach was as following, first i find the change in volume due to putting the gas into the other vessel as: $$ P_{1}V_{1}=P_{2}V_{2}\;\; → \;\;V_{2}=\frac{P_{1}}{P_{2}}V_{1} $$ now i use $$ V_{1}/T_{1}=V_{2}/T_{2}\;\; → \;\;\frac{P_{1}}{P_{2}}V_{1}/T_{1}=V_{2}/T_{2} $$ and using V=m/rho leads to, with m constant, i arrive at $$ \frac{\rho_{o}-\rho_{2}}{\rho_{o}}=\frac{1}{\frac{T_{2}P_{1}}{T_{1}P_{2}}}-1=-13.22% $$ the answer has the choices [-5.55% , -4.55% , 4%, 5%] what I am doing wrong, can any one help [/QUOTE]
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Introductory Physics Homework Help
Percentage change in the density of a gas
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