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At a temperature of 10°C the percent relative humidity is R₁₀, and at 40°C it is R₄₀. At each of these temperatures the partial pressure of water vapor in the air is the same. Using the vapor pressure curve for water that accompanies this problem, determine the ratio R₁₀/R₄₀ of the two humidity values.

At a temperature of 10°C, the percent relative humidity is \( R_{10} \), and at 40°C it is \( R_{40} \). At each of these temperatures, the partial pressure of water vapor in the air is the same. Using the vapor pressure curve for water that accompanies this problem, determine the ratio \( R_{10}/R_{40} \) of the two humidity values.

**Graph Explanation:**

The graph shows the vapor pressure of water as a function of temperature, ranging from 0°C to 50°C.

- The x-axis represents temperature in degrees Celsius (°C), marked in increments of 10 from 0 to 50.
- The y-axis represents the vapor pressure of water in pascals (Pa), with values from 0 to 8000 shown, increasing in increments of 1000.

The curve demonstrates an exponential increase in vapor pressure with rising temperature. Starting near the origin, at temperatures below 10°C, the vapor pressure is relatively low. As temperature approaches 40°C, the vapor pressure significantly increases, nearing 8000 Pa at 50°C.

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