The STP volume of an ideal gas is $2.78$ $m^3$ . What is the pressure of the sample at $1.75$ $m^3$ and $27°C$ ?

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Answer 1 · 2015-12-22T17:42:32

$P_2=1.75 atm$

The initial conditions are:
STP means: $T_1=273K$ and $P_1=1atm$
The volume of the gas is $V_1=2.78m^3$

Since the volume ( $V_2=1.75m^3$ ) and temperature ( $T_2=300K$ ) are changing at the same time, the new pressure could be found using:

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

$=>P_2= (P_1V_1)/(T_1)xx(T_2)/(V_2)=(1atmxx2.78cancel(m^3))/(273cancel(K))xx(300cancel(K))/(1.75cancel(m^3))=1.75 atm$

The STP volume of an ideal gas is 2.782.78 m^3m^3. What is the pressure of the sample at 1.751.75 m^3m^3 and 27°C27°C?