A gas cylinder filled with hydrogen holds 50 g of the gas.The same cylinder holds 220 g of a gas X and 550 g of gas Y.Calculate the relative molecular masses of gases X and Y.
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A gas cylinder is filled with hydrogen gas which weighs 40 g. The same cylinder holds 880 g of a gas A and 560 g of a gas B under the same conditions of temperature and pressure. Calculate the relative molecular masses of A and B.
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ANSWER
PV=nRT=
M
W
RT
M
W
=
RT
PV
Volume of the container, temperature and pressure are same for all the gases.
M
W
= constant
Hence,
M
H2
W
H2
=
M
A
W
A
=
M
B
W
B
2 g/mol
40 g
=
M
A
880 g
=
M
B
560 g
M
A
= 880 g ×
40 g
2 g/mol
= 44 g/mol
M
B
= 560 g ×
40 g
2 g/mol
= 28 g/mol
Hence, the relative molecular masses of A and B are 44 g/mol and 28 g/mol respectively.
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