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Standard XI

Statistics

Laspeyre's Price Index

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Question

Find out the specific heat of a substance that requires 10J of heat to raise the $2^{o} C$ temperature of a 2 kg sample of the substance ?

10 J / k g^{o} C

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5 J / k g^{o} C

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4 J / k g^{o} C

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2.5 J / k g^{o} C

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2 J / k g^{o} C

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Solution

The correct option is D $2.5 J / k g^{o} C$
Given : $m = 2 k g$ $Δ T = 2^{o} C$
Heat required to raise the temperature $Q = 10$ J
Using $Q = m S (Δ T)$
$∴$ $10 = 2 \times S \times 2$ $⟹ S = 2.5$ $J / k g^{o} C$

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Similar questions

Q. Water of mass

m_{2} = 1 k g

is contained in a copper calorimeter of mass

m_{1} = 1 k g

. Their common temperature is

t = 10^{o} C

. Now a piece of ice of mass

m_{3} = 2 k g

and temperature

- 11^{o} C

is dropped into the calorimeter. Neglecting any heat loss, the final temperature of the system is [specific heat of copper

0.1 K c a l / k g^{o} C

, specific heat of water

= 1 K c a l / k g^{o} C

, specific heat of ice

= 0.5 K c a l / k g^{o} C

, latent heat of fusion of ice

= 78.7 K c a l / k g

]

Q. The specific heat capacity of water is

4200 J / k g^{o} C

. Calculate the heat capacity of

10 k g

of water per

^{o} C

1 k g

of water is supplied

630 k J

of energy. Specific heat of water is

4200 J / k g^{o} C

. Calculate the rise in temperature of

1 k g

water :

Q. How much heat energy is required to prepare a water bath of

20 k g

, when cold water at

10^{o} C

is heated to

40^{o} C

? (Specific heat capacity of water is

4200 J / k g^{o} C

) :

Q. Calculate the quantity of heat required to convert

10 k g

of ice at

0^{o} C

to water at

50^{o} C

(Specific heat of water is

4200 J / k g^{o} C

, Latent heat of fusion of ice is

336 \times 10^{3} J / k g

)

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Find out the specific heat of a substance that requires 10J of heat to raise the 2oC temperature of a 2 kg sample of the substance ?

The correct option is D 2.5J/kgoCGiven : m=2kg ΔT=2oCHeat required to raise the temperature Q=10 JUsing Q=mS(ΔT)∴ 10=2×S×2 ⟹S=2.5 J/kgoC

Find out the specific heat of a substance that requires 10J of heat to raise the $2^{o} C$ temperature of a 2 kg sample of the substance ?

The correct option is D $2.5 J / k g^{o} C$
Given : $m = 2 k g$ $Δ T = 2^{o} C$
Heat required to raise the temperature $Q = 10$ J
Using $Q = m S (Δ T)$
$∴$ $10 = 2 \times S \times 2$ $⟹ S = 2.5$ $J / k g^{o} C$