Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

The specific heat of a metal at low temperature varies according to S=aT^3 where a is a constant and T is absolute temperature. The heat energy needed to raise unit mass of the metal from temperature T=1K to T=2K is a) 3a b) 15a/4 c) 2a/3 d) 13a/4

The specific heat of a metal at low temperature varies according to S=aT^3 where a is a constant and T is absolute temperature. The heat energy needed to raise unit mass of the metal from temperature T=1K to T=2K is


a) 3a


b) 15a/4


c) 2a/3


d) 13a/4

Grade:11

2 Answers

Swapnil Saxena
102 Points
9 years ago

We know that the dQ = mS(dT)

then Q= mSdT

Since S=aT3 where a is a constant . substituting the value of S

Q= m(aT3)dt= maT4/4

if the integration is done form 1 K to 2 K of unit mass then the result is (a(2)4/4)-(a(1)4/4)= 15a/4 (b.)

Rishi Sharma
askIITians Faculty 646 Points
10 months ago
Dear Student,
Please find below the solution to your problem.

We know that the dQ = mS(dT)
then Q= ∫mSdT
Since S=aT3 where a is a constant . substituting the value of S
Q= ∫m(aT3)dt= maT4/4
if the integration is done form 1 K to 2 K of unit mass then the result is (a(2)4/4)-(a(1)4/4)= 15a/4

Thanks and Regards

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free