Question #113117
how many calories are needed to raise the temperature of 21.0 g of silver from 22 degrees Celsius to 48 degrees Celcius
1
Expert's answer
2020-05-03T17:18:29-0400

Let find the energy, that need to heat silver:

Q=c×m×ΔTQ=c\times m\times \Delta T ,

where:

ΔT=T2T1=26K,m=21g=21×103kg.\Delta T=T_{2}-T_{1}=26K, m=21g=21\times10^{-3} kg.

c is a constant and for silver:

c=250Jkg×Kc=250\dfrac{J}{kg\times K}

Q=136.5JQ=136.5 J

We know that:

1c(calorie)=4.184J(Joule)1c(calorie)=4.184J(Joule)

or:

1J(Joule)=0.239c(calorie)1J(Joule)=0.239c(calorie)

So to raise the temperature of silver we need:

0.239×136.5=32.6235c(calories)0.239\times 136.5=32.6235 c(calories)


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