We need to solve four unit conversion problems: a. Convert 2 meters to centimeters. b. Estimate how many liters a 1-gallon jug can hold. c. Convert a metric ton (1000 kg) to pounds. d. Convert a temperature increase of 10 degrees Celsius to Fahrenheit.

1. Problem Description

We need to solve four unit conversion problems:

a. Convert 2 meters to centimeters.

b. Estimate how many liters a 1-gallon jug can hold.

c. Convert a metric ton (1000 kg) to pounds.

d. Convert a temperature increase of 10 degrees Celsius to Fahrenheit.

2. Solution Steps

a. Conversion of meters to centimeters.

We know that 1 meter = 100 centimeters.

Therefore, 2 meters = 2 * 100 centimeters.

b. Conversion of gallons to liters.

We know that 1 gallon is approximately equal to 3.785 liters.

c. Conversion of metric tons to pounds.

We know that 1 metric ton = 1000 kilograms and 1 kilogram is approximately equal to 2.20462 pounds.

Therefore, 1 metric ton = 1000 * 2.20462 pounds.

d. Conversion of Celsius temperature increase to Fahrenheit.

The formula to convert a temperature change from Celsius to Fahrenheit is:

$\Delta T_F = \frac{9}{5} \Delta T_C$

Where $\Delta T_F$ is the change in Fahrenheit and $\Delta T_C$ is the change in Celsius.

Given that $\Delta T_C = 10$ degrees Celsius, we can find $\Delta T_F$.

a. Calculation:

2 meters = 2 * 100 centimeters = 200 centimeters.

b. Estimation:

1 gallon $\approx$ 3.785 liters.

c. Calculation:

1 metric ton = 1000 kg

1 kg $\approx$ 2.20462 lbs

1 metric ton $\approx$ 1000 * 2.20462 lbs = 2204.62 lbs

Therefore, 1 metric ton $\approx$ 2205 lbs.

d. Calculation:

$\Delta T_F = \frac{9}{5} \Delta T_C$

$\Delta T_F = \frac{9}{5} * 10$

$\Delta T_F = 18$ degrees Fahrenheit.

3. Final Answer

a. 200 centimeters

b. Approximately 3.785 liters

c. Approximately 2205 pounds

d. 18 degrees Fahrenheit