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Given a Gas Is at 5 Atm and 7 L,what Is the Pressure of the Gas When Volume Changes to 25 L? 25 Atm 7.0 Atm 14 Atm 4.1 Atm

Problemas

Given a gas is at 5 atm and 7 L,what is the pressure of the gas when volume changes to 25 L? 25 atm 7.0 atm 14 atm 4.1 atm

Roztwór

Alberto maestro · Tutor durante 5 años
Weryfikacja ekspertów
4.2 (262 Votos)

Respuesta

The final pressure of the gas when the volume changes to 25 L is 1.4 atm.

Explicación

## Step 1The problem involves Boyle's Law, which states that the pressure and volume of a gas have an inverse relationship when the temperature is held constant. This means that if the volume of the gas increases, the pressure decreases, and vice versa. ## Step 2The formula for Boyle's Law is given as:### where and are the initial pressure and volume, and and are the final pressure and volume.## Step 3In this problem, the initial pressure is 5 atm, the initial volume is 7 L, and the final volume is 25 L. We are asked to find the final pressure . 4We can rearrange the Boyle's Law formula to solve for :### ## Step 5Substitute the given values into the formula:### ## Step 6Calculate the value of .