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if i initially have a gas pressure of 12.12 atms, a volume of 155 ml, and a constant temperature of 200 degrees C, and then i raise the pressure to 14.14 atms, what is the volume of the gas?

Respuesta :

znk

Answer:

[tex]\large \boxed{\text{133 mL}}[/tex]

Explanation:

The temperature and amount of gas are constant, so we can use Boyle’s Law.

[tex]p_{1}V_{1} = p_{2}V_{2}[/tex]

Data:

[tex]\begin{array}{rcrrcl}p_{1}& =& \text{12.12 atm}\qquad & V_{1} &= & \text{155 mL} \\p_{2}& =& \text{14.14 atm}\qquad & V_{2} &= & ?\\\end{array}[/tex]

Calculations:  

[tex]\begin{array}{rcl}12.12 \times 155 & =& 14.14V_{2}\\1879 & = & 14.14V_{2}\\V_{2} & = &\dfrac{1879}{14.14}\\\\& = &\textbf{133 mL}\\\end{array}\\\text{The volume of the gas is } \large \boxed{\textbf{133 mL}}[/tex]