Question

Answer for the rate please help me with my chemistry homework thank you so much

Answer 1

Rate cup 1: 36.00 tsp/h.

Rate cup 2: 59.50 tsp/h.

Rate cup 3: 70.13 tsp/h.

Step-by-step explanation:

Based on the given example, the units must be in tsp/hour. To do this we just have to divide tsp by seconds and then convert it to hours remembering that 1 hour equals 3600 seconds.

Let's calculate each case:

- Cup 1: 1 tsp, 1 minute 40 seconds. Remember that 1 minute equals 60 seconds, so 1 minute and 40 seconds equals 100 seconds. The calculation of the rate will look like this:

`\frac{1\text{ tsp}}{100\text{ s}}\cdot\frac{3600\text{ s}}{1\text{ h}}=36.00(tsp)/(h).`

The rate of cup 1 is 36.00 tsp/h.

- Cup 2: 2 tsp, 2 minutes 1 second. As we saw before 1 minute equals 60 seconds, so 2 minutes equals 120 seconds. 2 minutes and 1 second equals 121 seconds. The rate of cup 2 will be calculated as:

`\frac{2\text{ tsp}}{121\text{ s}}\cdot\frac{3600\text{ s}}{1\text{ h}}=59.50(tsp)/(h).`

The rate of cup 2 is 59.50 tsp/h.

- Cup 3: 3 tsp, 2 minutes 34 seconds. 2 minutes are the same that 120 seconds, so 2 minutes 34 seconds equals 154 seconds. The rate of cup 3 is calculated as follows:

`\frac{3\text{ tsp}}{154\text{ s}}\cdot\frac{3600\text{ s}}{1\text{ h}}=70.13(tsp)/(h).`

The rate of cup 3 is 70.13 tsp/h.