convert .98L of N20 gas at STP to moles

To convert from volume to moles, we need to use the ideal gas law, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.

At STP (Standard Temperature and Pressure), the temperature is 273.15 K and the pressure is 1 atm.

First, we need to convert the volume from liters to cubic meters since the ideal gas constant, R, is expressed in units of cubic meters.
1 L = 0.001 m^3

So, the volume of 0.98 L of N2O gas is:

0.98 L * 0.001 m^3/L = 0.00098 m^3

Next, we can use the ideal gas law equation:

PV = nRT

Since we are given that the pressure is 1 atm, the temperature is 273.15 K, and R is 0.0821 L·atm/(mol·K), we can substitute these values into the equation:

(1 atm) * (0.00098 m^3) = n * (0.0821 L·atm/(mol·K)) * (273.15 K)

Simplifying the equation:

0.00098 = n * (0.0821 * 273.15)

n = 0.00098 / (0.0821 * 273.15)

n ≈ 0.045 moles (rounded to three decimal places)

Therefore, 0.98 L of N2O gas at STP is approximately equal to 0.045 moles.