The co-efficient of real expansion of a liquid is $7 \times 10^{- 4} /^{o} C$ . The co-efficient of linear expansion of the vessel is $1 \times 10^{- 5} /^{o} C$ . The co-efficient of apparent expansion of the liquid is :

7 \times 10^{- 4} /^{o} C

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6 \times 10^{- 5} /^{o} C

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67 \times 10^{- 5} /^{o} C

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73 \times 10^{- 5} /^{o} C

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Solution

The correct option is C $67 \times 10^{- 5} /^{o} C$
$γ_{r} = γ_{a} + γ_{g} = γ_{a} + 3 α_{g}$
Given
$α_{g} =$ 1x $10^{- 5} /^{0}$ C
$γ_{r} =$ 7x $10^{- 4} /^{0}$ C
$∴ γ_{a} =$ $7 \times 10^{- 4} /^{0}$ C - $3 \times 10^{- 5} /^{0}$ C $=$ 70x $10^{- 5} /^{0}$ C - 3x $10^{- 5} /^{0}$ C $=$ 67x $10^{- 5} /^{0}$ C

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The co-efficient of real expansion of a liquid is 7×10−4/oC. The co-efficient of linear expansion of the vessel is 1×10−5/oC. The co-efficient of apparent expansion of the liquid is :

The correct option is C 67×10−5/oCγr=γa+γg=γa+3αgGivenαg=1x10−5/0Cγr=7x10−4/0C∴γa=7×10−4/0C - 3×10−5/0C=70x10−5/0C - 3x10−5/0C=67x10−5/0C

The co-efficient of real expansion of a liquid is $7 \times 10^{- 4} /^{o} C$ . The co-efficient of linear expansion of the vessel is $1 \times 10^{- 5} /^{o} C$ . The co-efficient of apparent expansion of the liquid is :