A glass flask is filled up to a mark with $$50$$ cc of mercury at $$18$$°C. If the flask and contents are heated to $$38$$°C, how much mercury will be above the mark ? $$($$α for glass is $$9$$ x $$10-6/$$°C and coefficient of real expansion of mercury is $$18$$ x $$10-3/$$°$$C)$$

Question

A glass flask is filled up to a mark with $$50$$ cc of mercury at $$18$$°C. If the flask and contents are heated to $$38$$°C, how much mercury will be above the mark ? $$($$α for glass is  $$9$$ x $$10-6/$$°C and coefficient of real expansion of mercury is $$18$$ x $$10-3/$$°$$C)$$

Infinity Learn · Accepted Answer

Volume of mercury at $$18$$°C $$=$$ $$V0$$ $$=$$ $$50$$ ccVolume of mercury at $$38$$°C $$=$$ $$(V38)r$$                   $$=V01+$$γm⋅ΔtVolume of flask at $$38$$∘$$C=V38f$$             $$=V01+$$γfΔt∴Volume of mercury at $$38$$°C above the mark            $$=V01+$$γmΔt−$$V01+$$γfΔ$$t=V0$$γm−γfΔ$$t=5018$$×$$10$$−$$3$$−$$3$$×$$9$$×$$10$$−$$6(38$$−$$18)=0$$⋅$$153$$ cc

	Column - I		Column - II
a	$γ_{g} < γ_{R}$	p	liquid level rises continuously from beginning
b	$γ_{g} = γ_{R}$	q	liquid level falls continuously from beginning
c	$γ_{g} > γ_{R}$	r	liquid level remains same
d	$γ_{g} = 0$	s	liquid level first falls and then rises

A glass flask is filled up to a mark with 50 cc of mercury at 18°C. If the flask and contents are heated to 38°C, how much mercury will be above the mark ? ( $α$ for glass is 9 x 10^-6/°C and coefficient of real expansion of mercury is 18 x 10^-3/°C)

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A glass flask is filled up to a mark with 50 cc of mercury at 18°C. If the flask and contents are heated to 38°C, how much mercury will be above the mark ? (α for glass is 9 x 10-6/°C and coefficient of real expansion of mercury is 18 x 10-3/°C)

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

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A glass flask is filled up to a mark with 50 cc of mercury at 18°C. If the flask and contents are heated to 38°C, how much mercury will be above the mark ? ( $α$ for glass is 9 x 10^-6/°C and coefficient of real expansion of mercury is 18 x 10^-3/°C)