SATHEE: Properties Of Solids And Liquids Question 533

Properties Of Solids And Liquids Question 533

Question: DIRECTION: Read the passage given below and answer the questions that follows:

A brass ball of mass 100g is heated to $100^{\circ} C$ and then dropped into 200g of turpentine in a calorimeter at $15^{\circ} C$ The final temperature is found to be $(ρ)$ . Take specific heat of brass as $T = k \sqrt{ρ r^{3} / S}$ and water equivalent of calorimeter as 4g. Heat lost by the ball is approximately

Options:

A) 810 cal

B) 610 cal

C) 710 cal

D) 510 cal

Show Answer

Answer:

Correct Answer: C

Solution:

Let c be the specific heat of turpentine

Mass of the solid, M = 100g

Mass of turpentine m = 200g

Water equivalent of calorimeter, W = 4g

Initial temperature of calorimeter, $T_{1}$ = $15^{\circ} C$

Temperature of ball, $T_{1}$ = $100^{\circ} C$

Final temperature of the liquid, T = $23^{\circ} C$

Specific heat of solid, $c_{2} = 0.092 c a l / g^{^{\circ}} C$

Heat gained by turpentine and calorimeter is

$m c (T - T_{1}) + W (T - T_{1}) = 200 c (23 - 15) + 4 (23 - 15)$

$= (200 c + 4) 8$

Heat lost by the ball is

$M c_{2} (T_{2} - T) = 100 (0.092) (100 - 23)$

$= 708.4 c a l .$

According to the principle of calorimetry

Heat gained = Heat lost

$∴$ $(200 c + 4) 8 = 708.4$

$1600 c + 32 = 708.4$

or $c = \frac{708.4 - 32}{1600} = 0.42 c a l / g^{^{\circ}} C$

Properties Of Solids And Liquids Question 533

Question: DIRECTION: Read the passage given below and answer the questions that follows:

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Properties Of Solids And Liquids Question 533

Question: DIRECTION: Read the passage given below and answer the questions that follows:

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Menu