---
title: "Two samples of liquid, Liquid X and Liquid Y, each having a mass of \\(0.20 \\text{ kg}\\), are placed inside a thermally insulated container and allowed to reach thermal equilibrium. The graph shows the temperature of each liquid as a function of time. What is the ratio \\(\\dfrac{c_X}{c_Y}\\) of the specific heat capacity of Liquid X to the specific heat capacity of Liquid Y?"
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url: "https://nerd-notes.com/ubq/117365/"
date_modified: "2026-08-04T06:51:58+00:00"
---

# Two samples of liquid, Liquid X and Liquid Y, each having a mass of \(0.20 \text{ kg}\), are placed inside a thermally insulated container and allowed to reach thermal equilibrium. The graph shows the temperature of each liquid as a function of time. What is the ratio \(\dfrac{c_X}{c_Y}\) of the specific heat capacity of Liquid X to the specific heat capacity of Liquid Y?

Two samples of liquid, Liquid X and Liquid Y, each having a mass of \(0.20 \text{ kg}\), are placed inside a thermally insulated container and allowed to reach thermal equilibrium. The graph shows the temperature of each liquid as a function of time. What is the ratio \(\dfrac{c_X}{c_Y}\) of the specific heat capacity of Liquid X to the specific heat capacity of Liquid Y?

![A quantitative line graph showing Temperature in degrees Celsius on the vertical axis against Time in seconds on the horizontal axis. The vertical axis ranges from 0 to 100 with major tick marks labeled 0, 20, 40, 60, 80, 100. The horizontal axis ranges from 0 to 10 with major tick marks labeled 0, 2, 4, 6, 8, 10. Horizontal gridlines extend across the plot at each temperature tick mark. Two curves are drawn. The curve labeled Liquid X starts at position (0, 20) and increases smoothly, flattening to a horizontal line at Temperature = 60 from Time = 8 to 10. The curve labeled Liquid Y starts at position (0, 80) and decreases smoothly, flattening to the same horizontal line at Temperature = 60 from Time = 8 to 10. No other lines, labels, or text appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-graph-1-1785826318-qzjKBc.jpg)

- **A.** \(0.5\)
- **B.** \(1.0\)
- **C.** \(2.0\)
- **D.** \(4.0\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117365/*