An ideal gas is at a temperature of 60$^{\circ}$C and a pressure of 1.50 atmospheres.What is the volume per particle of the gas? A) 2.75 $\times$ 10^-26 m³ B) 3.02 $\times$ 10^-26 m³ C) 3.98 $\times$ 10^-26 m³ D) 4.25 $\times$ 10^-26 m³ E) 5.00 $\times$ 10^-26 m³

Question

Quizplus · Accepted Answer

We can use the ideal gas law to solve for the volume per particle: 
PV = nRT 
where P is the pressure, V is the volume, n is the number of particles (which we can assume to be 1), R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the temperature from Fahrenheit to Kelvin: 
T = (60 - 32) x 5/9 + 273.15 = 288.15 K

Then, we can solve for V: 
V = (nRT)/P = (1 x 8.31 x 288.15)/1.50 = 3.02 x 10^-26 m^3

This is the volume per particle, so the answer is B.

An Ideal Gas Is at a Temperature of 60 ∘^{\circ}∘ C and a Pressure of 1

An Ideal Gas Is at a Temperature of 60 $^{\circ}$ C and a Pressure of 1