Question

Among the following changes cannot increase the volume of a gas by 4 times, are
a) T is doubled. Pis decreased to half
b) P is kept constant; T is increased by 4 times
c) 'T' is kept constant, P is decreased to half d) 'T' is kept constant, Pis decreased to 1/4th​

Answer 1

Answer:

opt c is the answer

Explanation:

PV=nRT

Here the number of moles(n) and gas constant (R) are constant

Let PV=kT where k is constant

V=kT/P........ initial volume

(a)T-->2T P--->P/2

V¹=kT/P=k(2T)/(P/2)=4kT/P

V¹=4V..... volume increases by 4 times

(b)T---->4T. P--->P

V¹=kT/P=k(4T)/P=4kT/P

V¹=4V...... volume increases by 4 times

(c)T-->T P--->P/2

V¹=kT/P=kT/(P/2)=2kT/P

V¹=2V......... volume increases by 2 times