The density of a gas is 1.78g/l at stp.the weight of one mole of gas is
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Molar gas volume at stp is :
1 mole = 22400 cm³ = 22.4 litres
Density = mass / volume
Density = 1.78g/litre
Volume = 22.4 litres
Mass = volume × density
1.78 × 22.4 = 39.872 g
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Answer: The weight of one mole of gas is 39.84 g.
Explanation:
To calculate the weight of one mole of gas, we use the equation given by ideal gas equation:
Number of moles (n) can be written as:
where, m = given mass
M = molar mass
where,
which is known as density of the gas
Evaluating the formula to calculate the weight of one mole of gas:
.....(1)
We are given:
d = 1.78 g/L
At STP conditions:
R = Gas constant =
T = temperature of the gas = 273 K
P = pressure of the gas = 1 atm
Putting values in equation 1, we get:
Hence, mass of the gas for 1 mole will be 39.84 grams.
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