The Question is from neet-physics thermal-properties-of-matter calorimetry, and it was created by the author VENKATESWARARAO

Question

Calculate the amount of heat (in calories) required to convert 5g of ice at ${0^0}C$ to steam at ${100^0}C$

VENKATESWARARAO · Accepted Answer

## CORE INFORMATION
✓ **Answer**: [C]
## CONCEPT FRAMEWORK
	**Primary Concept**: Heat transfer and phase changes
	**Related Topics**: Latent heat, specific heat
	**Prerequisites**: Understanding of heat transfer during phase changes and specific heat capacity.
## SOLUTION PATHWAY
**Given Information**:
	* Mass of ice (m) = 5 g
	* Initial temperature of ice = 0°C
	* Final temperature of steam = 100°C
	* Specific heat of water (c_water) = 1 cal/g°C
	* Latent heat of fusion of ice (L_f) = 80 cal/g
	* Latent heat of vaporization of water (L_v) = 540 cal/g
**Method & Steps**:
	1. Calculate heat required to melt ice at 0°C to water at 0°C (Q1).
		Reasoning: Phase change from solid to liquid at constant temperature.
		Formula/Rule:  Q = m * L_f
		Working: Q1 = 5g * 80 cal/g = 400 cal
	2. Calculate heat required to raise the temperature of water from 0°C to 100°C (Q2).
		Reasoning: Heating water within the liquid phase.
		Formula/Rule: Q = m * c * ΔT
		Working: Q2 = 5g * 1 cal/g°C * (100°C - 0°C) = 500 cal
	3. Calculate heat required to vaporize water at 100°C to steam at 100°C (Q3).
		Reasoning: Phase change from liquid to gas at constant temperature.
		Formula/Rule: Q = m * L_v
		Working: Q3 = 5g * 540 cal/g = 2700 cal
	4. Calculate the total heat required (Q_total).
		Reasoning: Sum of heat required for each process.
		Working: Q_total = Q1 + Q2 + Q3 = 400 cal + 500 cal + 2700 cal = 3600 cal
		Result: Total heat required is 3600 cal
		Verification: The final answer matches the correct answer.
 ## OPTION ANALYSIS
[A] :x: Incorrect calculation.
[B] :x: Incorrect calculation.
[C] ✓: Correct calculation.
[D] :x: Incorrect calculation.
 ## LEARNING AIDS
	**Common Mistakes**:
		1. Forgetting to include all the stages of heat transfer: Avoid by ensuring each stage of the heating process is accounted for.
		2. Using the wrong latent heat value: Avoid by carefully identifying the phase change occurring.
	**Quick Tips**:
		1. Break down the problem into smaller steps: Melting, heating, and vaporizing.
		2. Keep track of units: Ensure all calculations are consistent with units.

VENKATESWARARAO · Answer

$3100cal$

VENKATESWARARAO · Answer

$3200cal$

VENKATESWARARAO · Answer

The correct Option is "$3600cal$"

VENKATESWARARAO · Answer

$4200cal$

NEET Physics Mechanical Properties Of Fluids Calorimetry MCQs

Select Topic

Question Tags

Question Tags

Question Tags

Question Tags

NEET Subjects

Our Bots

Company