An experimental six-cylinder engine that operates on a Carnot cycle has been proposed for a car. Each cylinder is fitted with a movable piston that allows the cylinder to fill with \(1.00 \mathrm{~mol}\) of a monatomic ideal gas. During isothermal expansion at \(700 \mathrm{~K}\), the length of each cylinder increases from \(100 \mathrm{~mm}\) to \(200 \mathrm{~mm}\) as the piston moves. The isothermal compression occurs at \(400 \mathrm{~K}\). Each isothermal process takes \(9.00 \mathrm{~s}\), and each isentropic process takes \(2.00 \mathrm{~s}\). If the mass of the car is \(750 \mathrm{~kg}\), how long a time interval is required for this car and its \(70.0-\mathrm{kg}\) driver to accelerate from rest to \(50.0 \mathrm{~km} / \mathrm{h}\) ? Ignore drag and friction.