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

Question:The temperature of equal masses of three different liquids A,B and C are 12 degree C ,19 degree C and 28 degree C respectively.The temperature ,when A and B are mixed ,is 16 degree C, and when B and C are mixed,is 23 degree C.what will be the temperature when A and C are mixed ?

Question:The temperature of equal masses of three different liquids A,B and C are 12 degree C ,19 degree C and 28 degree C respectively.The temperature ,when A and B are mixed ,is 16 degree C, and when B and C are mixed,is 23 degree C.what will be the temperature when A and C are mixed ?

Grade:12th pass

1 Answers

Arun
25763 Points
3 years ago
Dear student
 
Let a, b and c be the specific heat capacities of liquids A, B and C.
Let the mass of the liquids be m.
When A and B are mixed:
ma (16-12) = mb(19-16)
4a = 3b
When B and C are mixed:
mb(23-19)= mc(28-23)
4b = 5c
Therefore, 16a = 12b = 15c
Let x be the temperature when A and C are mixed
ma(x-12) = mc(28-x)
a/c = 15/16 = (28 -x) /(x-12)
15x -180 = 448 -16x
31x = 628
x = 20.25 °c

Regards
Arun (askIITians forum expert)

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