Question

8. a. Given that the specific heat of one material is twice that of another compare the amounts of heat required to raise the temperatures of equal masses of each material by 1°C. b. If the same amount of heat were added to samples of both materials and each sample had the same increase in temperature, compare the masses of each sample.
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Answer #1

1) Given specific heat of one material ( say A ) is twice than the specific heat of other material ( say B)

Then rac{Q_A}{Q_B} = rac{m_ac_aDelta T}{m_bc_bDelta T}

Since ma = mb ( masses are equal) and temperature rise of 1oC is given then:

rac{Q_A}{Q_B} = rac{c_a}{c_b} = rac{2 imes c_b}{c_b} = 2

So {Q_A} =2 imes Q_B

2) Given {Q_A} =Q_B

Then

mac

Given same temperature rise of 1oC then:

{m_ac_a}={m_bc_b}

ma Cb m Ca

сь

mb ma 2

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