Question

what is the ratio of volume of 1g H2 to the volume of 16g CH4 at STP?
A. 1:2
B. 2:1
plz guide the right answer with explanation.
IMMEDIATELY PLZ

Answer 1

volume of 1gm H2 at stp is 11.2 and volume of 16gm CH4 is 22.4. so ratio of the volumes are 1:2

Answer 2

The ratio of volume of 1g H2 to the volume of 16g CH4 at STP is 1:2 .

Concept:

• We can compare any two gases using combined gas law.
• Combined gas law is derived from ideal gas law.
• Ideal gas law states that , ratio of product of pressure and volume with temperature is constant.

PV/T= constant

Mathematical form,

PV=nRT

Where,

P= pressure

V= Volume

n= No.of moles

T= Temperature

R= Universal gas constant

using this above ideal gas law we can derive combined gas law, illustrated as follows..

P1V1/n1T1 = P2V2/ n2T2

were,

P1,P2= pressure of gas 1 and 2 , respectively

V1 and V2 = volumes

T1 and T2 = temperature

n1 and n2= moles.

Calculation:

moles of H2= mass / molecular mass

= 1/2 =0.5

moles of CH4 = mass /molecular mass

= 16/16 = 1

At, STP

that means that both gases are having similar conditions,

so, we can rewrite combined gas law as follows..

V1/n1= V2/n2

now,

V1/V2 = n1/ n2

=0.5/1

=1/2

Hence, The ratio of volume of 1g H2 to the volume of 16g CH4 at STP is 1:2 .

#SPJ2