A 21.5L sample of gas at 107kPa has a temperature of 27.20C. What is the pressure of the gas if it is transferred to a 32.6L container at 44.10C?

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Answer 1 · 2018-08-04T14:44:44

$P_2 ~~ "74.5 kPa"$

Use

$PV=nRT$

where $n$ and $R$ stay constant during the transfer.

$nR=(PV)/(T)$

so

$[P_1V_1]/(T_1) = [P_2V_2]/(T_2)$

or

$P_2=[P_1V_1T_2]/(V_2T_1)$

Don't forget that

$T = θ+273.15$

So

$P_2 = ("107 kPa" * "21.5 L" * (44.10 + 273.15)\ "K")/("32.6 L" * (27.20 + 273.15) \ "K")$

$P_2 ~~ "74.5 kPa"$