Temperature to Volume per Milliliter Calculator

This calculator determines the volume per milliliter of a substance based on its temperature. It's particularly useful for liquids like water where volume changes with temperature.

Input Parameters

Reference temperature at which volume is defined (e.g., 20°C for water)

Average thermal expansion coefficient for the substance

Calculation Results

Calculation Formula

Vfinal = Vref × [1 + β × (Tfinal - Tref)]

Where:
Vfinal = Final Volume per Milliliter
Vref = Reference Volume per Milliliter
β = Thermal Expansion Coefficient
Tfinal = Current Temperature
Tref = Reference Temperature

Result

Final Volume per Milliliter (mL/mL):

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Volume Change (mL/mL):

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Percentage Change (%):

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Temperature to Volume per Milliliter Calculator Usage Guide

Learn how to use the Temperature to Volume per Milliliter Calculator and understand its working principles

How to Use This Calculator

  1. Select the type of substance you want to calculate for from the dropdown menu. The calculator includes common substances like water, ethanol, and glycerin with their typical thermal expansion coefficients.
  2. If using a custom substance, select "Custom" and enter the name of your substance.
  3. Enter the reference temperature (°C) at which the volume per milliliter is defined. For most substances, this is 20°C.
  4. Enter the reference volume per milliliter (mL/mL) at the reference temperature. For water at 20°C, this is typically 1.000.
  5. Enter the current temperature (°C) for which you want to calculate the volume per milliliter.
  6. Enter the thermal expansion coefficient (β) for the substance. This value represents how much the volume increases per degree change in temperature.
  7. Click the "Calculate" button to see the results.

Understanding the Formula

The calculator uses the following formula to determine the final volume per milliliter:

Vfinal = Vref × [1 + β × (Tfinal - Tref)]

Where:

  • Vfinal = Final Volume per Milliliter
  • Vref = Reference Volume per Milliliter
  • β = Thermal Expansion Coefficient (1/°C)
  • Tfinal = Current Temperature (°C)
  • Tref = Reference Temperature (°C)

Example: Water Calculation

For water at 20°C, the reference volume per milliliter is 1.000 mL/mL. The thermal expansion coefficient for water is approximately 0.0002 (1/°C). If we want to calculate the volume per milliliter at 25°C:

  1. Reference Temperature (Tref) = 20°C
  2. Reference Volume (Vref) = 1.000 mL/mL
  3. Current Temperature (Tfinal) = 25°C
  4. Thermal Expansion Coefficient (β) = 0.0002 (1/°C)
  5. Temperature Difference = 25 - 20 = 5°C
  6. Volume Change = 1.000 × [1 + 0.0002 × 5] = 1.001 mL/mL

Applications

This calculator is useful in various fields including:

  • Chemistry labs for precise volume measurements
  • Engineering for fluid systems design
  • Manufacturing for quality control
  • Environmental science for water level measurements