A glass flask contains some mercury at room t | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let $V_m$ be the volume of mercury and $V_f$ be the volume of the glass flask.Since the volume of air inside the flask remains constant at differe

Vedclass · Accepted Answer

$2000$

Vedclass · Answer

(C) Let $V_m$ be the volume of mercury and $V_f$ be the volume of the glass flask.Since the volume of air inside the flask remains constant at different temperatures,the change in the volume of mercury must be equal to the change in the volume of the flask.$\Delta V_m = \Delta V_f$$\gamma_m V_m \Delta T = \gamma_f V_f \Delta T$$\gamma_m V_m = \gamma_f V_f$We know that the coefficient of volume expansion of the flask $\gamma_f = 3 \alpha_{glass}$.Given $\gamma_m = 1.8 	imes 10^{-4} (^{\circ}C)^{-1}$,$\alpha_{glass} = 9 	imes 10^{-6} (^{\circ}C)^{-1}$,and $V_m = 300 \, cm^3$.Substituting the values:$1.8 	imes 10^{-4} 	imes 300 = 3 	imes (9 	imes 10^{-6}) 	imes V_f$$5.4 	imes 10^{-2} = 2.7 	imes 10^{-5} 	imes V_f$$V_f = \frac{5.4 	imes 10^{-2}}{2.7 	imes 10^{-5}} = 2 	imes 10^3 = 2000 \, cm^3$.

Similar Questions

An iron rod has a length of $10 \ cm$ at $20^{\circ}C$. What will be the change in length of the iron rod at $19^{\circ}C$? (Given for iron,$\alpha = 11 \times 10^{-6} \ ^{\circ}C^{-1}$)

The coefficient of linear expansion depends on

Two large holes are cut in a metal sheet. If this sheet is heated,what happens to the distances $AB$ and $BC$ as shown in the figure?

At some temperature $T$,a bronze pin is slightly too large to fit into a hole drilled in a steel block. The change in temperature required for an exact fit is minimum when:

$A$ metallic tape gives the correct value at $25^{\circ} C$. $A$ piece of wood is being measured by this metallic tape at $10^{\circ} C$. If the reading is $30 \, cm$ on the tape, the real length of the wooden piece must be .......... $cm$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module