Question

If two vessels A and B contain the same gas but the volume of vessel A is twice that of B and temperature and pressure of gas A is twice that of gas in B, then the ratio of gas molecules in A and B is ______.

Options

• 1:2

• 1:4

• 4:1

• 2:1

Answer 1

If two vessels A and B contain the same gas but the volume of vessel A is twice that of B and temperature and pressure of gas A is twice that of gas in B, then the ratio of gas molecules in A and B is 2:1.

Explanation:

V_A = 2V_B; T_A = 2T_B; P_A = 2P_B 

`("P"_"A""V"_"A")/"T"_"A"=("P"_"B""V"_"B")/"T"_"B"` = n_AR = n_BR

∴ `eta_"A"/eta_"B"=("P"_"A""V"_"A""T"_"B")/("P"_"B""V"_"B""T"_"A")`

= `((2"P"_"B")(2"V"_"B")("T"_"B"))/("P"_"B""V"_"B"(2"T"_"B")` = 2