Question

if i have 17 moles of gas at a temperature of 67c and a volume of 88.89 liters, what is the pressure of the gas?
p × v = n × r × t
r = 0.0821
a 5.3 atm
b 145 atm
c 1.05 atm
d 156 atm

Explanation:

Step1: Convert temperature to Kelvin

$T = 67 + 273 = 340\ K$

Step2: Rearrange the ideal gas law formula for pressure

$P=\frac{nRT}{V}$

Step3: Substitute the values

$n = 17\ mol$, $R = 0.0821\ L\cdot atm/(mol\cdot K)$, $T = 340\ K$, $V = 88.89\ L$
$P=\frac{17\times0.0821\times340}{88.89}$
First calculate the numerator: $17\times0.0821\times340=17\times27.914 = 474.538$
Then divide by the denominator: $P=\frac{474.538}{88.89}\approx5.3\ atm$

Answer:

A. 5.3 atm