Horsepower (metric) (PS) to British thermal units per hour (Btu/h) conversion

Understanding Horsepower (metric) to British thermal units per hour Conversion

The horsepower (metric) is the metric horsepower (PS, from the German Pferdestärke), a unit of power equal to about 735.5 watts commonly used in the automotive industry across Europe and Asia. The British thermal unit per hour is a unit of power (energy flow rate) widely used in heating, ventilation, and air-conditioning (HVAC) to rate the capacity of furnaces, boilers, and cooling systems. Converting horsepower (metric) to British thermal units per hour is useful whenever you need to express the same power quantity in a different measurement system, such as sizing HVAC equipment, comparing engine or motor ratings, or matching a machine spec given in one country's convention to another. Remember that British (mechanical) horsepower (~745.7 W) and metric horsepower (PS, ~735.5 W) are not identical — they differ by roughly 1.4% — so use the factor that matches the exact horsepower unit you have.

Conversion Formula

To convert a value from horsepower (metric) to British thermal units per hour, multiply by the fixed conversion factor:

$$1\ \text{PS} = 2509.6259060076\ \text{Btu/h}$$

In other words, multiply the number of horsepower (metric) by $2509.6259060076$ to obtain the equivalent number of British thermal units per hour.

Step-by-Step Example

Convert $25$ horsepower (metric) to British thermal units per hour.

1. Write the formula: $\text{value in Btu/h} = \text{value in PS} \times 2509.6259060076$
2. Substitute the value: $25 \times 2509.6259060076$
3. Calculate: $25 \times 2509.6259060076 = 62740.6$

So $25\ \text{PS} = 62740.6\ \text{Btu/h}$.

How to Convert Horsepower (metric) to British thermal units per hour

Converting horsepower (metric) to British thermal units per hour takes just one multiplication once you know the factor. Here is how to convert $25\ \text{PS}$ as an example.

1. Write the conversion factor. One horsepower (metric) equals a fixed number of British thermal units per hour:

$$1\ \text{PS} = 2509.6259060076\ \text{Btu/h}$$

2. Set up the multiplication. Multiply your value in horsepower (metric) by the factor:

$$25\ \text{PS} \times \frac{2509.6259060076\ \text{Btu/h}}{1\ \text{PS}}$$

3. Cancel the units. The PS units cancel, leaving the answer in Btu/h.
4. State the result. Complete the arithmetic: $25 \times 2509.6259060076 = 62740.6$, so $25\ \text{PS} = 62740.6\ \text{Btu/h}$.

What is the formula to convert Horsepower (metric) to British thermal units per hour?

Multiply the number of horsepower (metric) by the conversion factor. As an equation, $\text{Btu/h} = \text{PS} \times 2509.6259060076$, since one horsepower (metric) equals $2509.6259060076$ British thermal units per hour.

How many British thermal units per hour are in 1 Horsepower (metric)?

There are $2509.6259060076$ British thermal units per hour in one horsepower (metric). This fixed factor is used for every horsepower (metric)-to-British thermal units per hour calculation.

How do I convert British thermal units per hour back to Horsepower (metric)?

Reverse the conversion by dividing by $2509.6259060076$, or equivalently multiply by the inverse factor: $1\ \text{Btu/h} = 0.0003984657624095\ \text{PS}$. For example, $62740.6\ \text{Btu/h}$ converts back to $25\ \text{PS}$.

Where is a horsepower (metric)-to-British thermal units per hour conversion actually used?

This conversion comes up when a power rating is given in horsepower (metric) but you need it in British thermal units per hour — for instance, matching an engine or motor spec to HVAC or heating-capacity figures, or comparing equipment rated under different national conventions.

Is the Horsepower (metric)-to-British thermal units per hour factor exact or rounded?

The factor $2509.6259060076$ is shown to the precision our converter uses, which is more than accurate enough for everyday work. Only extremely large quantities or high-precision scientific use would notice any rounding in the final digits.