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Vsevolod [243]
3 years ago
12

A steel container with a movable piston contains 2.00 g of helium which was held at a constant temperature of 25 °C. Additional

helium was pumped into the container and the piston adjusted so that the gas pressure remained constant. How many grams of helium were added to the cylinder if the volume was changed from 2.00 L to 3.00 L?A) 0.700 gB) 2.00 gC) 1.8 gD) 1.00 gE) 9.7 gF) 5.63 gG) 4.63 g
Chemistry
1 answer:
shtirl [24]3 years ago
4 0

Answer: D) 1.00 g

Explanation:

According to the Avogadro's law, the volume of gas is directly proportional to the number of moles of gas at same pressure and temperature. That means,

V\propto n

or,

\frac{V_1}{V_2}=\frac{n_1}{n_2}

where,

V_1 = initial volume of gas  = 2.00 L

V_2 = final volume of gas = 3.00 L

n_1 = initial moles of gas  =\frac{\text {Given mass of helium}}{\text {molar mass of helium}}=\frac{2.00g}{4g/mol}=0.500mol

n_2 = final moles of gas  = ?

Now we put all the given values in this formula, we get

\frac{2.00L}{3.00L}=\frac{0.500mol}{n_2}

n_2=0.75mole

Mass of helium =moles\times {\text {molar mass}}=0.75\times 4=3.00g

Thus mass of helium added = (3.00-2.00) g = 1.00 g

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