How much heat is required to raise the temperature of 10kg of water by

1.	How much heat is required to raise the temperature of 10kg of water by 30 degrees C?
Answer» We know that, to change the STATE of a matter, heat is required. Heat required to change a solid into liquid is GIVEN by , Q=mL , where L= latent heat of fusion , now given that , m=10 kg , and latent heat of fusion of ICE is , L=336×10 3 J/kg , hence, heat required to CONVERT the 10kg of ice at 0 o C to water at 0 C , Q=(10×336×10 3 )=3360 kJ , now, heat required to convert the 10kg of water at 0 o C to water at 50 o C , by , Q ′ =m×c×Δt , given c=4200J/kg o C , hence Q ′ =10×4200×(50−0)=2100 kJ , therefore total heat required to convert 10kg of ice at 0 o C to water at 50 o C , Q ′′ =Q+Q ′ =3360+2100=5460 kJ

How much heat is required to raise the temperature of 10kg of water by 30 degrees C?

Answer»

We know that, to change the STATE of a matter, heat is required. Heat required to change a solid into liquid is GIVEN by ,

Q=mL ,

where L= latent heat of fusion ,

now given that , m=10 kg , and latent heat of fusion of ICE is , L=336×10

J/kg ,

hence, heat required to CONVERT the 10kg of ice at 0

C to water at 0

C ,

Q=(10×336×10

)=3360 kJ ,

now, heat required to convert the 10kg of water at 0

C to water at 50

C ,

by , Q

′

=m×c×Δt ,

given c=4200J/kg

C ,

hence Q

′

=10×4200×(50−0)=2100 kJ ,

therefore total heat required to convert 10kg of ice at 0

C to water at 50

C ,

′′

=Q+Q

′

=3360+2100=5460 kJ