An electrochemist investigates the electrolysis of an aqueous silver nitrate solution, AgNO3\text{AgNO}_3AgNO3, to silver-plate a key. During this process, silver is deposited onto the cathode (negative electrode). The table below shows the mass of silver deposited over time.
| Time (minutes) | Mass of silver (g) |
|---|---|
| 0 | 0.00 |
| 15 | 0.27 |
| 30 | 0.54 |
| 45 | 0.81 |
| 60 | 1.08 |
| 75 | 1.35 |
Assuming the rate of deposition of silver remains constant, determine the mass of silver that would be produced after 50 minutes.