1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Physics
Real Gas Equation
Find the work...
Question
Find the work done by a gas when it expands isothermally at
37
o
to four times its initial volume:
A
3753
J
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3573
J
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
7533
J
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
5375
J
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
C
3573
J
Given:
Temperature of a gas is
37
0
C
= 37+273.15=310.15 K
Solution:
The total work done by a gas when it expands isothermally is given by,
W
=
n
R
T
ln
v
2
v
1
(1)
According to question,
v
f
=
4
v
i
So, substituting the value of
v
f
in the equation (1) we get,
W
=
n
R
T
ln
4
v
i
v
i
W
=
n
R
T
ln
4
W
=
1
×
8.314
×
310.15
×
ln
4
On solving we get,
W
=
3574.68
J
The closest answer to 3574.62 J is 3573 J.
Hence, the correct option is (B).
Suggest Corrections
0
Similar questions
Q.
Find the work done by a gas when it expands isothermally at
37
∘
C
to four times its initial volume.
Q.
Find the work done by a gas when it expands isothermally at
37
o
C
to four times its initial volume.
Q.
A gram mole of a gas at
127
o
C
expands isothermally until its volume is doubled. find the amount of work done and heat absorbed.
Q.
280 mmol of perfect gas occupies 12.7 L at 310 K. Calculate the work done when the gas expands
A) isothermally against a constant external pressure of 0.25 atm
B) isothermally and reversibly
C) into vaccum until its volume has increased by 3.3L.
Q.
Calculate the work done (in Joules) when
0.2
mole of an ideal gas at
300
K expands isothermally and reversibly from an initial volume of
2.5
liters to the final volume of
25
liters.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Equations Redefined
PHYSICS
Watch in App
Explore more
Real Gas Equation
Standard XII Physics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Solve
Textbooks
Question Papers
Install app