Question

if i have an unknown quantity of gas at a pressure of 1.2 atm, a volume of 3.1 liters, and a temperature of 87c, how many moles of gas do i have?

p x v = n x r x t

r = 0.0821

a 0.125 moles
b 1.25 moles
c 0.52 moles
d 0.36 moles

Explanation:

Step1: Convert temperature to Kelvin

$$T = 87 + 273=360\ K$$

Step2: Rearrange the ideal gas law formula for \(n\)

The ideal gas law is \(PV = nRT\). Rearranging for \(n\) gives \(n=\frac{PV}{RT}\)

Step3: Substitute values into the formula

Given \(P = 1.2\ atm\), \(V = 3.1\ L\), \(R=0.0821\ L\cdot atm/(mol\cdot K)\), \(T = 360\ K\)
$$n=\frac{1.2\times3.1}{0.0821\times360}$$
$$n=\frac{3.72}{29.556}$$
$$n\approx0.125\ mol$$

Answer:

A. 0.125 moles