Question

If a balloon containing 0.342 moles of gas is left out in sun, the pressure is 1.54 atmospheres. If the temperature is 300 K, what is the volume of the balloon? Note R is 8.314 L kPa mol-1K-1 or 0.821 L atm mol-1K-1 .

Answer 1

54.7 L

Step-by-step explanation:

To find the volume, you need to use the Ideal Gas Law. The formula looks like this:

PV = nRT

In this formula,

-----> P = pressure (atm)

-----> V = volume (L)

-----> n = number of moles

-----> R = constant (0.821 L*atm/mol*K)

-----> T = temperature (K)

You need to use the second R constant because the pressure is measured in atmospheres (atm) and not kPa. Because you have the all of the necessary variables except for volume, you can substitute them into the Ideal Gas Law formula and solve.

P = 1.54 atm R = 0.821 L*atm/mol*K

V = ? L T = 300 K

n = 0.342 moles

PV = nRT

(1.54 atm)V = (0.342 moles)(0.821 L*atm/mol*K)(300 K)

(1.54 atm)V = 84.2346

V = 54.7 L