Question

An inflatable toy starts with 1.05 moles of air and a volume of 5.17 liters. When fully inflated, the volume is 8.00 liters. If the pressure and temperature inside the toy don’t change, how many moles of air does the toy now contain? A. 2.05 mol B. 1.62 mol C. 1.55 mol D. 0.679 mol

Answer 1

Answer:

1.625 mol.

Explanation:

• To calculate the no. of moles of a gas, we can use the general law of ideal gas: PV = nRT.

where, P is the pressure of the gas in atm.

V is the volume of the gas in L.

n is the no. of moles of the gas in mol.

R is the general gas constant.

T is the temperature of the gas in K.

• If P and T is constant, and have two different values of (n and V):

n₂V₁ = n₁V₂

n₁ = 1.05 mole, V₁ = 5.17 L.

n₂ = ??? mole, V₂ = 8.0 L.

∴ n₂ = n₁V₂/n₂ = (1.05 mole)(8.0 L)/(5.17 L) = 1.625 mol.

Answer 2

B) 1.62

The toy now contains 1.62 mol

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