Question

Calculate the volume of the gas when the pressure of the gas is 1.60 atm at a temperature of 298 K. There are 160. mol of gas in the cylinder. The value for the universal gas constant R is 0.08206 L⋅atm/(mol⋅K) .

Express your answer numerically to four significant figures.

Answer 1

2445 L

Step-by-step explanation:

Given:

Pressure = 1.60 atm

Temperature = 298 K

Volume = ?

n = 160 mol

Using ideal gas equation as:

`PV=nRT`

where,

P is the pressure

V is the volume

n is the number of moles

T is the temperature

R is Gas constant having value = 08206 L.atm/K.mol

Applying the equation as:

1.60 atm × V = 160 mol × 0.08206 L.atm/K.mol × 298 K

⇒V = 2445.39 L

Answer to four significant digits, Volume = 2445 L