By how much does the temperature increase?(in celcius)?

Question

100 J of heat energy are transferred to 20 g of mercury.How much heat is needed to raise the temperature of 20 g of water by the same amount?

Answer 1

Specific heat of mercury is 0.1395 J/(g.K)
Specific heat of water is 4.1813 J/(g.K)

So it will take
4.1813/0.1395 = 29.97
more heat to warm an equivalent mass of water than mercury

If it took 100 J to warm 20 g of mercury, it will take
100J x 29.97 = 2997 J
to warm 20 g of water.

Answer 2

the specific heat of Hg is 0.1395 J/°K/g
So to heat g of mercury you need 0.1395J

the formula to measure the difference of temperature is

Q = mcdt
dt = Q/mc here Q =100J m =20 c=0.1395
dt= 100/(*0.1395*20)=35.84

for water the specific heat is 4.185J/°K/g

Q= 20*4.185*35.84 =3000j

Answer 3

S.H. of mercury = 0.14 J/g/K (or °C).

100 ÷ 0.14 = 714J.
714 ÷ 20 = 35.7°C added to the mercury.

1g water needs 4.184J/°C
20 x 4.184 x 35.7°C
= 2987.4J needed for the same temp. increase.