You have m kgs of a certain liquid in a vessel- which is heated till there is a temperature change of - T- If the coefficient of volume expansion is Y- whatis the density of the liquid after heating- if the initial density was - -A- -1- TB- - TC- - TD- -1- T

The correct option is D ρ' = ρ (1 γΔ T) We know that m=ρ V = Constant ⇒ρ_1 V_2 = ρ_2 V_2 ⇒ρ V=ρ^1 { V(1+γ×Δ T) } ρ^1 =ρ/1+γΔ T ρ^1 =ρ(1 γΔ T) ...

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Byju's Answer

Standard X

Physics

Expansion In Liquids and Gases

You have m kg...

Question

You have $m k g s$ of a certain liquid in a vessel, which is heated till there is a temperature change of $Δ T$ . If the coefficient of volume expansion is $γ$ , what is the density of the liquid after heating, if the initial density was $ρ$ ?

$ρ^{'}$ = $ρ (1 + γ Δ T)$

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$ρ^{'}$ = $ρ - γ Δ T$

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$ρ^{'}$ = $ρ - γ Δ T$

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$ρ^{'}$ = $ρ (1 - γ Δ T)$

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Solution

The correct option is D
$ρ^{'}$ = $ρ (1 - γ Δ T)$

We know that
$m = ρ V = C o n s t a n t \Rightarrow ρ_{1} V_{2} = ρ_{2} V_{2} \Rightarrow ρ V = ρ^{1} {V (1 + γ \times Δ T)} ρ^{1} = \frac{ρ}{1 + γ Δ T} ρ^{1} = ρ (1 - γ Δ T)$

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You have m kgs of a certain liquid in a vessel, which is heated till there is a temperature change of ΔT. If the coefficient of volume expansion is γ, what is the density of the liquid after heating, if the initial density was ρ?

Ik the answer...but how did...in the last step did
ρ/(1+y∆T) changes to ρ(1-y∆T)

Please explain this step.
Thank you!

You have $m k g s$ of a certain liquid in a vessel, which is heated till there is a temperature change of $Δ T$ . If the coefficient of volume expansion is $γ$ , what is the density of the liquid after heating, if the initial density was $ρ$ ?

Q. A liquid which has coefficient of volumetric expansion of

γ,

is heated till there is a temperature change of

Δ T .

The density of the liquid after heating is.

(initial density ρ)

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You have m kgs of a certain liquid in a vessel, which is heated till there is a temperature change of ΔT. If the coefficient of volume expansion is γ, what is the density of the liquid after heating, if the initial density was ρ?

The correct option is D ρ′ = ρ (1 − γΔT) We know that m=ρV=Constant⇒ρ1V2=ρ2V2⇒ρV=ρ1{V(1+γ×ΔT)}ρ1=ρ1+γΔTρ1=ρ(1−γΔT)

You have $m k g s$ of a certain liquid in a vessel, which is heated till there is a temperature change of $Δ T$ . If the coefficient of volume expansion is $γ$ , what is the density of the liquid after heating, if the initial density was $ρ$ ?

The correct option is D
$ρ^{'}$ = $ρ (1 - γ Δ T)$

We know that
$m = ρ V = C o n s t a n t \Rightarrow ρ_{1} V_{2} = ρ_{2} V_{2} \Rightarrow ρ V = ρ^{1} {V (1 + γ \times Δ T)} ρ^{1} = \frac{ρ}{1 + γ Δ T} ρ^{1} = ρ (1 - γ Δ T)$