when a gas filled in a closed vessel is heated to 1 degree Celsius ,its pressure increased by 0.4percent .the initially temperature of the gas was?
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Let P2 = 1.004 P1 ..... A 0.4% increase in P
Let T2 = T1 + 1 ........... See note below
P1V1/T1 = P2V2/T2 ..... combined gas law
P1/T1 = P2/T2 ............... Assume V remains constant.
T1 = P1T2 / P2 .............. solve for T1
T1 = P1(T1+1) / (1.004P1)
T1 = (T1+1) / 1.004
1.004T1 = T1 + 1
1.004T1 - T1 = 1
0.004T1 = 1
T1 = 1 / 0.004
T1 = 250K
Hope any 1 of the 2 helps you out
Let T2 = T1 + 1 ........... See note below
P1V1/T1 = P2V2/T2 ..... combined gas law
P1/T1 = P2/T2 ............... Assume V remains constant.
T1 = P1T2 / P2 .............. solve for T1
T1 = P1(T1+1) / (1.004P1)
T1 = (T1+1) / 1.004
1.004T1 = T1 + 1
1.004T1 - T1 = 1
0.004T1 = 1
T1 = 1 / 0.004
T1 = 250K
Hope any 1 of the 2 helps you out
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Answered by
25
Let P2 = 1.004 P1 ..... A 0.4% increase in P
Let T2 = T1 + 1 ........... See note below
P1V1/T1 = P2V2/T2 ..... combined gas law
P1/T1 = P2/T2 ............... Assume V remains constant.
T1 = P1T2 / P2 .............. solve for T1
T1 = P1(T1+1) / (1.004P1)
T1 = (T1+1) / 1.004
1.004T1 = T1 + 1
1.004T1 - T1 = 1
0.004T1 = 1
T1 = 1 / 0.004
T1 = 250K
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