Question #df0fe

1 Answer
Jul 6, 2016

It is 0.555 atm.

Explanation:

The equation of the perfect gas is

PV=nRT

P is the pressure that we want to calculate, V is the volume in "m"^3, n are the mols, R is the constant of perfect gas 8.314472 ("m"^3"Pa")/("mol" "K"), T is the temperature in "K".
First of all we need to transform our quantity in the proper units:

V=11.2 "L"=11.2*10^-3 "m"^3

T=30^\circ"C"=30+273.15 "K"=303.15"K".

The pressure is

P=(nRT)/V=(0.25 cancel"mol"*8.314472 (cancel("m"^3)"Pa")/(cancel"mol" cancel"K")*303.15cancel"K")/(11.2*10^-3 cancel("m"^3))

=(0.25* 8.314472*303.15)/(11.2)*10^3"Pa"

=56261.88" Pa", or, if we want in a more familiar unit, we can convert it in atm using the conversion 1"atm"=101325"Pa" then

56261.88" Pa"= 56261.88/101325" atm"

=0.555" atm".